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35255144301342 = 237171091874324169
BaseRepresentation
bin10000000010000011110100…
…10110100100001100011110
311121211100200121211022210220
420001001322112210030132
514110110013420120332
6202551553435342210
710266046225052250
oct1001017226441436
9147740617738726
1035255144301342
1110262693949579
123b548245b1966
1316897132a6094
1489c502849cd0
15412101c71d2c
hex20107a5a431e

35255144301342 has 128 divisors (see below), whose sum is σ = 86114314598400. Its totient is φ = 9392509218816.

The previous prime is 35255144301317. The next prime is 35255144301347. The reversal of 35255144301342 is 24310344155253.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 35255144301294 and 35255144301303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35255144301347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1458680634 + ... + 1458704802.

It is an arithmetic number, because the mean of its divisors is an integer number (672768082800).

Almost surely, 235255144301342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35255144301342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43057157299200).

35255144301342 is an abundant number, since it is smaller than the sum of its proper divisors (50859170297058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35255144301342 is a wasteful number, since it uses less digits than its factorization.

35255144301342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43050.

The product of its (nonzero) digits is 864000, while the sum is 42.

Adding to 35255144301342 its reverse (24310344155253), we get a palindrome (59565488456595).

The spelling of 35255144301342 in words is "thirty-five trillion, two hundred fifty-five billion, one hundred forty-four million, three hundred one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 109 119 218 238 327 357 654 714 763 1526 1853 2289 3706 4578 5559 11118 12971 18743 24169 25942 37486 38913 48338 56229 72507 77826 112458 131201 145014 169183 262402 318631 338366 393603 410873 507549 637262 787206 821746 955893 1015098 1232619 1911786 2042987 2230417 2465238 2634421 2876111 4085974 4460834 5268842 5752222 6128961 6691251 7903263 8628333 12257922 13382502 14300909 15806526 17256666 18440947 28601818 34730779 36881894 42902727 44785157 55322841 69461558 85805454 89570314 104192337 110645682 134355471 208384674 243115453 268710942 313496099 452999567 486230906 626992198 729346359 905999134 940488297 1358998701 1458692718 1880976594 2717997402 3170996969 6341993938 7700992639 9512990907 15401985278 19025981814 23102977917 46205955834 49376952803 53906948473 98753905606 107813896946 148130858409 161720845419 296261716818 323441690838 345638669621 691277339242 839408197651 1036916008863 1678816395302 2073832017726 2518224592953 5036449185906 5875857383557 11751714767114 17627572150671 35255144301342